Question

two numbers are in ratio 5:6 .If 8 is subtracted from each the ratio becomes 4:5 find the number​

Answer 1

Answer:

x/y = 5/6

x × 6 = y × 5

6x – 5y = 0………………..(1)

If 8 is subtracted from each of the numbers then the ratio is 4:5.

x−8y−8=45

⇒ 5x – 40 = 4y – 32

Then the equation is

5x – 4y = 8……………….(2)

From equation (1)

x = 5y/6

Substituting value of x in equation (2)

5(5y/6) – 4y = 8

y = 48

Substitute the value of y in equation (1) we get

6x – 5(48) = 0

6x = 240

x = 40

Therefore the numbers are 40 and 48.

Answer 2

Answer:

Let the 2 no.s be 5x and 6x

According to the question...have to subtract 8 from each no.

5x-8/6x-8=4/5

5(5x-8)=4(6x-8)

25x-40=24x-32

25x-24x= -32+40

x=8

Step-by-step explanation:

checking the ans

5x-8/6x-8

5(8)-8/6(8)-8

40-8/48-8

32/40

The ratio becomes 4:5

So our ans is correct

OUR ANS IS 40 AND 48

HOPE IT HELPS

GOOD DAY...!!!!